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Chapter 1 Algebra Pre-Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 
 
Write an algebraic expression for the phrase.
 

 1. 

the sum of b and 11
a.
b – 11
b.
mc001-1.jpg
c.
b + 11
d.
11b
 

 2. 

the product of g and 4
a.
4g
b.
g + 4
c.
mc002-1.jpg
d.
g – 4
 

 3. 

The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours.
a.
c = 18h
b.
c – 18 = h
c.
h = 18c
d.
mc003-1.jpg
 

 4. 

What equation models the data in the table if d = number of days and c = cost?
Days
Cost
2
44
3
66
5
110
6
132
a.
d = 22c
b.
c = 22d
c.
c = d + 22d
d.
c = d + 22
 

 5. 

An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral triangle if P = perimeter and s = length of a side?
a.
s = 3P
b.
P = 3s
c.
P = 3 + s
d.
P = 3(s + s + s)
 

 6. 

Evaluate u + xy, for u = 18, x = 10, and y = 8.
a.
188
b.
36
c.
98
d.
224
 

 7. 

A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate.
a.
$95.38
b.
$60.99
c.
$57.23
d.
$78.19
 

 8. 

Evaluate the expression mc008-1.jpg for a = 4 and b = 3.
a.
36
b.
24
c.
81
d.
144
 

 9. 

You can use the formula mc009-1.jpg to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What is 62°F in degrees Celsius? Round your answer to the nearest tenth.
a.
30°C
b.
16.7°C
c.
52.2°C
d.
2.4°C
 
 
Simplify the expression.
 

 10. 

mc010-1.jpg
a.
108
b.
36
c.
18
d.
9
 

 11. 

A rational number is ____ a real number.
a.
always
b.
sometimes
c.
never
 

 12. 

Write the number 2.4 in the form mc012-1.jpg, using integers, to show that it is a rational number.
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
d.
mc012-5.jpg
 

 13. 

Order the numbers from least to greatest.
mc013-1.jpg, mc013-2.jpg, mc013-3.jpg
a.
mc013-4.jpg, mc013-5.jpg, mc013-6.jpg
c.
mc013-10.jpg, mc013-11.jpg, mc013-12.jpg
b.
mc013-7.jpg, mc013-8.jpg, mc013-9.jpg
d.
mc013-13.jpg, mc013-14.jpg, mc013-15.jpg
 

 14. 

The opposite of a negative number is ____ negative.
a.
always
b.
sometimes
c.
never
 

 15. 

Which of the scatter plots shows a positive correlation?
a.
mc015-1.jpg
c.
mc015-3.jpg
b.
mc015-2.jpg
d.
mc015-4.jpg
 

 16. 

Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year.
a. Find the mean, median, and mode of this data.
b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year.
a.
mean = 12,700; median = 13,156; no mode; the mean is the best choice because it is representative of the entire data set.
b.
mean = 13,156; median = 12,700; mode = 3,628; the median is the best choice because it is not skewed by the high outlier.
c.
mean = 13,156; median = 12,700; no mode; the mean is the best choice because it is representative of the entire data set.
d.
mean = 13,156; median = 12,700; no mode; the median is the best choice because it is not skewed by the high outlier.
 

 17. 

Angela’s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests?
a.
fifth test = 85; sixth test = 89
c.
fifth test = 90; sixth test = 86
b.
fifth test = 85; sixth test = 81
d.
fifth test = 89; sixth test = 85
 

 18. 

Make a stem-and-leaf plot for the following set of data.
1.1, 1.3, 1.8, 2.2, 2.6, 2.8, 3.1, 3.8
a.
mc018-1.jpg
1 1 = 1.1
c.
mc018-3.jpg
1 0.1 = 1.01
b.
mc018-2.jpg
1 1 = 1.1
d.
mc018-4.jpg
1 8 = 1.8
 
 
Write a function rule for each table.
 

 19. 


Hour Worked
Pay
2
$15.00
4
$30.00
6
$45.00
8
$60.00
a.
p = 7.50h
c.
p = h + 15
b.
p = 15h
d.
h = 7.50p
 

 20. 


Days
Cost to Rent a Truck
1
34
2
56
3
78
4
100
a.
c = 22d + 12
c.
c = 22d + 22
b.
c = 12d + 22
d.
c = 22d
 

 21. 

The cost of playing pool increases with the amount of time using the table. Identify the independent and dependent quantity in the situation.
a.
time at table; cost
c.
number of games; cost
b.
cost; time at table
d.
cost; number of players
 

 22. 

The french club is holding a car wash fundraiser. They are going to charge $10 per car, and expect between 50 and 75 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.
a.
number of cars; money raised; 50 to 75 cars; $500 to $750
c.
number of cars; money raised; $500 to $750; 50 to 75 cars
b.
money raised; number of cars; $500 to $750; 50 to 75 cars
d.
money raised; number of cars; 50 to 75 cars; $500 to $750
 

Short Answer
 

 23. 

The population of an endangered animal species has been increasing. Make a scatter plot using the data given in the table.

Year
Population
1
230
2
670
3
620
4
840
5
1400
6
1580

sa023-1.jpg
 

 24. 

Bob and Nancy recorded their last ten rounds of golf scores in the stem-and-leaf plot below. Use measures of central tendency to justify your answers.
a. Who is the better golfer? (A player with a lower score beats a player with a higher score.)
b. Is one golfer more consistent than the other? Explain.

Nancy
StemBob
9  8  7
7
5  9
8  6  5  5  2
8
3  3  3  8  9
1  0
9
0  3  7

7 5 = 75
 



 
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